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Example Questions
Example Question #3 : Know And Use The Formulas For The Volumes Of Cones, Cylinders, And Spheres: Ccss.Math.Content.8.G.C.9
The height of a cylinder is two times the length of the radius of the circular end of a cylinder. If the volume of the cylinder is , what is the height of the cylinder?
The volume of a cylinder is:
where is the radius of the circular end of the cylinder and
is the height of the cylinder.
Since , we can substitute that into the volume formula. So we can write:
So we get:
Example Question #1 : How To Find The Volume Of A Cylinder
A cylinder has a diameter of inches and a height of
inches. Find the volume, in cubic inches, of this cylinder.
Since we are given the diameter, divide that value in half to find the radius.
Now plug this value into the equation for the volume of a cylinder.
Example Question #212 : Geometry
Find the volume, in cubic inches, of a cylinder that has a radius of inches and a height of
inches.
The formula to find the volume of a cylinder is .
Now, plug in the given numbers into this equation.
Example Question #2 : Volume Of A Three Dimensional Figure
A sphere has a diameter of inches. What is the volume of this sphere?
To find the volume of a sphere, use the following formula:
, where
is the radius of the sphere.
Now, because we are given the diameter of the sphere, divide that value in half to find the radius.
Now, plug this value into the volume equation.
Example Question #1991 : Hspt Mathematics
Write the formula for the volume of a sphere.
Since the diameter is 14 the radius is half the diameter, which is 7. Substitute the radius and solve for the volume.
Example Question #1992 : Hspt Mathematics
Find the area of a cylinder with radius 7 and height 2.
To solve, simply use the formula for the volume of a cylinder.
Thus,
Given the height is 2 and the radius is 7, substitute these values into the above formula to solve for volume.
Example Question #1993 : Hspt Mathematics
Which expression is equal to 40% of the volume of the above cylinder?
The volume of the cylinder can be calculated by setting and
in the formula
40% of this volume is
Example Question #1994 : Hspt Mathematics
The volume of the above cylinder is 80% of what number?
The volume of the cylinder can be calculated by setting and
in the formula
This is 80% of the number
Example Question #1995 : Hspt Mathematics
A sphere has diameter 12. What is 75% of its volume?
The radius of a sphere is half its diameter, which here is 12, so the radius is 6. The volume of the sphere can be calculated by setting in the formula:
75% of this is
Example Question #1996 : Hspt Mathematics
Find the volume of a rectangular prism with the following information:
The formula for volume of a rectangular prism is,
.
For this problem, since
the solution would be
.
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